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Finding the Fourth Proportional to 78,514, 108,350.40 and 44,980

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Solution

The fourth proportional to 78,514, 108,350.40 and 44,980 is: 62,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,514 : 108,350.40 = 44,980 : x
  2. Step 2: Convert to fraction form
    78,514/108,350.40 = 44,980/x
  3. Step 3: Cross multiply
    78,514x = 108,350.40 × 44,980
  4. Step 4: Simplify right side
    78,514x = 4,873,600,992
  5. Step 5: Solve for x
    x = 4,873,600,992/78,514
  6. Step 6: Final answer
    x = 62,073.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.